Numerical Study of Nonlinear Scattering Characteristics of SH<sub>0</sub> Waves Encountering Cracks in Prestressed Plates

CHEN Huijian; ZHU Qingfeng; MIAO Hongchen; FENG Zhiqiang

doi:10.21656/1000-0887.440029

Volume 44 Issue 4

Apr. 2023

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Article Navigation > Applied Mathematics and Mechanics > 2023 > 44(4): 367-380

CHEN Huijian, ZHU Qingfeng, MIAO Hongchen, FENG Zhiqiang. Numerical Study of Nonlinear Scattering Characteristics of SH0 Waves Encountering Cracks in Prestressed Plates[J]. Applied Mathematics and Mechanics, 2023, 44(4): 367-380. doi: 10.21656/1000-0887.440029

Citation:

CHEN Huijian, ZHU Qingfeng, MIAO Hongchen, FENG Zhiqiang. Numerical Study of Nonlinear Scattering Characteristics of SH₀ Waves Encountering Cracks in Prestressed Plates[J]. Applied Mathematics and Mechanics, 2023, 44(4): 367-380. doi: 10.21656/1000-0887.440029

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Numerical Study of Nonlinear Scattering Characteristics of SH₀ Waves Encountering Cracks in Prestressed Plates

doi: 10.21656/1000-0887.440029

School of Mechanics and Aerospace Engineering, Southwest Jiaotong University, Chengdu 611756, P.R.China

Received Date: 2023-02-02
Rev Recd Date: 2023-03-01
Publish Date: 2023-04-01

Abstract

Abstract

Ultrasonic guided waves are widely used in structural health monitoring (SHM) for their long propagation distances and small energy attenuation. Understanding the scattering characteristics of guided waves encountering defects is essential for the design of transducer arrays and wave signal interpretation in SHM. The contact nonlinear scattering characteristics of the SH₀ wave (zero-order shear horizontal wave) encountering cracks in prestressed plates were investigated. Based on the previously developed bi-potential spectral method, the spectral finite elements (SFEs) and the finite elements (FEs) were further coupled with the mortar method to make full use of the high efficiency of the spectral element method in calculating guided wave propagation and the strong ability of the finite element method in discretizing complex structures. The nonlinear scattering fields of SH₀ waves interacting with microcracks at different angles in plates under free and loaded conditions were calculated with the developed numerical method. The results show that, the induced 2nd harmonic scattering field is approximately symmetrical with respect to the crack direction. Moreover, the existence of uniaxial prestress will not change the symmetry of the 2nd harmonic scattering field, so the orientation of the microcrack can still be determined by the distribution of the scattering field.
- shear horizontal wave,
- contact acoustic nonlinearity,
- spectral element method,
- bi-potential contact theory

Contributed by FENG Zhiqiang, M. AMM Editorial Board

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References(30)

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